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Technology adoption under embodiment : A two-stage optimal control approach

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Author Info

  • Raouf, BOUCEKKINE

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

  • Cagri, SAGLAM

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

  • Thomas, VALLEE

    (Université de Nantes)

Abstract

We use two stage optimal control techniques to solve some adoption problems under embodied technical change. We first solve a benchmark problem without learning behavior. At the date of switching, the consumption level is shown to drop, as the relative price of capital goes down (obsolescence). In such a case, the economy sticks to the initial technology, or immediately switches to a new technology with a higher level of embodiment, depending on how the obsolescence costs compare to the induced growth advantage. In a second step, we introduce learning. The learning curve involves fixed costs and incentives to wait as well. Adoption is shown to depend on the growth advantage of switching net of obsolescence and learning fixed costs. The economy will switch if and only if this indicator is positive. If it is big enough to “compensate” the option of waiting, then the economy switches immediately. Otherwise, the economy waits

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Bibliographic Info

Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2003007.

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Length: 28
Date of creation: 01 Apr 2002
Date of revision:
Handle: RePEc:ctl:louvir:2003007

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Keywords: Optimal control; adoption; learning; embodiment;

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References

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  1. Greenwood, J. & Hercowitz, Z. & Krusell, P., 1996. "Long-Run Implications of Investment-Specific Technological Change," RCER Working Papers 420, University of Rochester - Center for Economic Research (RCER).
  2. Jovanovic, B. & Nyarko, Y., 1996. "Learning by Doing and the Choice of Technology," Working Papers 96-25, C.V. Starr Center for Applied Economics, New York University.
  3. Raouf BOUCEKKINE & Fernando DEL RIO & Omar LICANDRO, 2002. "Embodied technological change learning-by-doing and the productivity slowdown," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2002028, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  4. Oded Galor & Omer Moav, 1998. "Ability Biased Technological Transition, Wage Inequality, and Economic Growth," Working Papers 98-14, Brown University, Department of Economics.
  5. Galor, Oded & Tsiddon, Daniel, 1996. "Technological Progress, Mobility, and Economic Growth," CEPR Discussion Papers 1413, C.E.P.R. Discussion Papers.
  6. Makris, Miltiadis, 2001. "Necessary conditions for infinite-horizon discounted two-stage optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1935-1950, December.
  7. Tomiyama, Ken, 1985. "Two-stage optimal control problems and optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 9(3), pages 317-337, November.
  8. Parente Stephen L., 1994. "Technology Adoption, Learning-by-Doing, and Economic Growth," Journal of Economic Theory, Elsevier, vol. 63(2), pages 346-369, August.
  9. Jeremy Greenwood & Boyan Jovanovic, 2000. "Accounting for Growth," RCER Working Papers 475, University of Rochester - Center for Economic Research (RCER).
    • Jeremy Greenwood & Boyan Jovanovic, 2001. "Accounting for Growth," NBER Chapters, in: New Developments in Productivity Analysis, pages 179-224 National Bureau of Economic Research, Inc.
  10. Krusell, Per, 1998. " Investment-Specific R&D and the Decline in the Relative Price of Capital," Journal of Economic Growth, Springer, vol. 3(2), pages 131-41, June.
  11. Tomiyama, Ken & Rossana, Robert J., 1989. "Two-stage optimal control problems with an explicit switch point dependence : Optimality criteria and an example of delivery lags and investment," Journal of Economic Dynamics and Control, Elsevier, vol. 13(3), pages 319-337, July.
  12. Boyan Jovanovic, 1995. "Learning and Growth," NBER Working Papers 5383, National Bureau of Economic Research, Inc.
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Citations

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Cited by:
  1. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2012. "Optimal Regime Switching and Threshold Effects: Theory and Application to a Resource Extraction Problem under Irreversibility," Working Papers halshs-00793200, HAL.
  2. Raouf Boucekkine & Benteng Zou, 2010. "Catching-up with the “locomotive”: a simple theory," CREA Discussion Paper Series 10-02, Center for Research in Economic Analysis, University of Luxembourg.
  3. repec:ebl:ecbull:v:6:y:2007:i:15:p:1-10 is not listed on IDEAS
  4. Katrin Millock & Angels Xabadia & David Zilberman, 2009. "Investment Policy for New Environmental Monitoring Technologies to Manage Stock Externalities," Post-Print halshs-00367888, HAL.
  5. Gemma Larramona & Josefina Cabeza & Rosa Aisa, 2007. "Timing of migration," Economics Bulletin, AccessEcon, vol. 6(15), pages 1-10.
  6. repec:hal:journl:halshs-00639729 is not listed on IDEAS
  7. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2012. "On the Timing and Optimality of Capital Controls: Public Expenditures, Debt Dynamics and Welfare," Working Papers halshs-00793196, HAL.
  8. Harada, Tsutomu, 2010. "Path-dependent economic progress and regress: The negative role of subsidies in economic growth," Structural Change and Economic Dynamics, Elsevier, vol. 21(3), pages 197-205, August.
  9. Erol Dogan & Cuong Le Van & Cagri Saglam, 2010. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Working Papers 16, Development and Policies Research Center (DEPOCEN), Vietnam.
  10. Chahim, M. & Grass, D. & Hartl, R.F. & Kort, P.M., 2012. "Product Innovation with Lumpy Investment," Discussion Paper 2012-074, Tilburg University, Center for Economic Research.
  11. Ngo Van Long & Fabien Prieur & Klarizze Puzon & Mabel Tidball, 2014. "Markov Perfect Equilibria in Differential Games with Regime Switching Strategies," CESifo Working Paper Series 4662, CESifo Group Munich.

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